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Finding the Fourth Proportional to 3,494.95, 5,241.53 and 2,089.77

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Solution

The fourth proportional to 3,494.95, 5,241.53 and 2,089.77 is: 3,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.95 : 5,241.53 = 2,089.77 : x
  2. Step 2: Convert to fraction form
    3,494.95/5,241.53 = 2,089.77/x
  3. Step 3: Cross multiply
    3,494.95x = 5,241.53 × 2,089.77
  4. Step 4: Simplify right side
    3,494.95x = 10,953,592.15
  5. Step 5: Solve for x
    x = 10,953,592.15/3,494.95
  6. Step 6: Final answer
    x = 3,134.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.